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math.AP2026
The compactness of Moser-Trudinger functionals with conical metric in the unit ball
Qi Xia, Yufeng Lu
Let be the unit ball in , is a standard Sobolev space. Suppose a function is radially symmetric, nonnegati…
math.AP2025
Global well-posedness for generalized fractional Hartree equations with rough initial data in all dimensions
Yufeng Lu
We prove the global existence of the solution for fractional Hartree equations with initial data in certain real interpolation spaces between and some kinds of new function…
math.AP2024
Global Well-posedness for the Fourth-order Nonlinear Schrodinger Equation
Mingjuan Chen, Yufeng Lu, Yaqing Wang
The local and global well-posedness for the one dimensional fourth-order nonlinear Schrödinger equation are established in the modulation space for an…